High-field hopping mobility in molecular systems with spatially correlated energetic disorder

Gartstein, Yuri N.; Conwell, E. M.

doi:10.1016/0009-2614(95)01031-4

Cited by 263 publications

(203 citation statements)

References 16 publications

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“…When this energy is not low enough, it is known that deviations from the Langevin expression occur. 17 We remark that it has been argued by several authors [18][19][20] that the energetic disorder in organic semiconductors should be spatially correlated. One of the situations for which this would occur is when the energetic disorder is caused by random dipolar fields.…”

Section: Introductionmentioning

confidence: 83%

“…Such correlation leads to a strongly enhanced electric-field dependence of the mobility. [18][19][20] We have recently performed modeling studies of current-voltage characteristics of hole-only devices of a derivative of PPV ͑Ref. 21͒ and of a polyfluorene-based copolymer, 22 both with spatially uncorrelated and correlated Gaussian disorder.…”

Section: Introductionmentioning

confidence: 99%

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Electron-hole recombination in disordered organic semiconductors: Validity of the Langevin formula

et al. 2009

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Accurate modeling of electron-hole recombination in organic light-emitting diodes ͑OLEDs͒ is essential for developing a complete description of their functioning. Traditionally, the recombination rate is described by the Langevin formula, with a proportionality factor equal to the sum of the electron and hole mobilities. In the disordered organic semiconductors used in OLEDs these mobilities have been shown to depend strongly on the carrier densities and on the electric field. Moreover, the energetic disorder leads to percolating pathways for the electron and hole currents, which may or may not be correlated. To answer the question whether the Langevin formula is still valid under such circumstances we perform Monte Carlo simulations of the recombination rate for Gaussian energetic disorder. We vary the disorder energy, the temperature, the densities, and mobility ratio of electrons and holes, the electric field, and the type of correlation between the electron and hole energies. We find that at zero electric field the Langevin formula is surprisingly well obeyed, provided that a change in the charge-carrier mobilities due to the presence of charge carriers of the opposite type is taken into account. Deviations from the Langevin formula at finite electric field are small at the field scale relevant for OLED modeling.

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Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Electron-hole recombination in disordered organic semiconductors: Validity of the Langevin formula

et al. 2009

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“…These data show a mobility μ with a Poole-Frenkel dependence on the electric field, μ ∝ exp[γ √ F ], in a rather wide range of electric-field strengths F , with γ a factor depending on temperature. 3 In particular, it was suggested that the fields of randomly oriented dipoles could be the origin of such correlated disorder. 4,5 The resulting model is known as the correlated disorder model (CDM).…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo study of charge transport in organic sandwich-type single-carrier devices: Effects of Coulomb interactions

et al. 2011

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“…An important factor determining μ is the density of states (DOS), i.e., the distribution of site energies. These energies may be correlated; for example, if the electrostatic potential distribution is caused by randomly oriented dipoles, 3 which we will call "dipolecorrelated disorder" for short. It has been shown through experimental current-voltage characteristics that, depending on the material, either uncorrelated or dipole-correlated energetic disorder is more appropriate.…”

Section: Introductionmentioning

confidence: 99%

Scaling theory for percolative charge transport in molecular semiconductors: Correlated versus uncorrelated energetic disorder

2012

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High-field hopping mobility in molecular systems with spatially correlated energetic disorder

Cited by 263 publications

References 16 publications

Electron-hole recombination in disordered organic semiconductors: Validity of the Langevin formula

Electron-hole recombination in disordered organic semiconductors: Validity of the Langevin formula

Monte Carlo study of charge transport in organic sandwich-type single-carrier devices: Effects of Coulomb interactions

Scaling theory for percolative charge transport in molecular semiconductors: Correlated versus uncorrelated energetic disorder

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